Abstract
In this paper, the lattice Boltzmann–cellular automata (LBM-CA) model with dynamic and static grids was used to study the growth of three-dimensional (3D) multidendrites under directional solidification with random preferred angles. In the static grid, the temperature field, flow field, and solute field during solidification were calculated by the LBM method, and in the dynamic grid, each dendrite evolution was calculated based on the CA method at its preferential crystallographic orientation. The coupling of LBM and CA was made by interpolation of the correlation quantities between the two sets of grids. The effects of wall-equiaxed crystal density on the number of columnar crystals and the thickness of the equiaxed crystal layer were studied by this model. The results showed that the density of the wall-equiaxed crystal has little effect on the number of columnar crystals and the thickness of the equiaxed crystal layer. When other conditions were the same, the lower the undercooling, the fewer the columnar crystals, and the thicker the equiaxed layer. In addition, the smaller the heat transfer coefficient, the lower the number of columnar grains, and the smaller the thickness of equiaxed grains.
Highlights
IntroductionPublisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
Only Wang and Lee have studied the effect of the density of wall-equiaxed crystals on the distribution and morphology of columnar crystals, but their calculation assumes that the preferred growth direction of wall-equiaxed crystals is parallel to the coordinate axis
The effect of natural convection on dendrite growth was not calculated in the above numerical simulation. It can be seen from the above that the 3D numerical simulation of dendrite growth has made some progress, but research on the 3D numerical simulation of dendrite competitive growth evolution with random preferential angles under the influence of directional heat flux has hardly been reported, and the influence of equiaxed crystal density on the number of columnar crystals has rarely been studied
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Only Wang and Lee have studied the effect of the density of wall-equiaxed crystals on the distribution and morphology of columnar crystals, but their calculation assumes that the preferred growth direction of wall-equiaxed crystals is parallel to the coordinate axis. The effect of natural convection on dendrite growth was not calculated in the above numerical simulation It can be seen from the above that the 3D numerical simulation of dendrite growth has made some progress, but research on the 3D numerical simulation of dendrite competitive growth evolution with random preferential angles under the influence of directional heat flux has hardly been reported, and the influence of equiaxed crystal density on the number of columnar crystals has rarely been studied. On the basis of this model, the effects of the grain density of wall-equiaxed grains on the number of columnar grains and the thickness of the equiaxed layer under the action of directional heat flux were calculated and studied
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
